Conjecture:

Let p(n) the nth prime number n>1

There is a twin prime pair between p(n) and p(n+1+Floor[log[n]^ w]

w is a real number 1<w< 2

Since we have

Sincerely

Sebastian martin Ruiz

________________________________

De: John <

reddwarf2956@...>

Para: Sebastian Martin Ruiz <

s_m_ruiz@...>

Enviado: Domingo 5 de agosto de 2012 5:33

Asunto: Re: Twin prime conjecture

Mr. Ruiz,

Why not another number near 2 and related to 2? For example, 2*sqr(2)*log(2) = 1.9605....

--- In primenumbers@yahoogroups.com, Sebastian Martin Ruiz <s_m_ruiz@...> wrote:

>

> I tried experimentalemte many values. I work with MATHEMATICA and modifying the formulas many timesÂ I looking for symmetry, beauty and simplicity. Respect to (2-1/Pi ^ 2) is the best bound that I have found but there may be some other smaller. I do mathÂ proof later whenÂ I can.

>

>

> ________________________________

> De: "whygee@..." <whygee@...>

> Para: primenumbers@yahoogroups.com

> Enviado: Jueves 2 de agosto de 2012 22:11

> Asunto: Re: [PrimeNumbers] Twin prime conjecture

>

>

> Â

> Le 2012-08-02 22:07, Sebastian Martin Ruiz a Ã©critÂ :

> > Hello all:

>

> Hello,

>

> > Conjecture:

> > Â

> > Let p(n) the nth prime number n>1

> > Â

> > Â

> > There is a twin prime pair between p(n) and p(n+1+Floor[log[n]^

> > (2-1/Pi^2)])

> > Â

>

> I'm curious about your thought process.

> Can you please provide more background ?

> what makes you think this is true, how did you come to this idea ?

>

> > Sincerely

>

> regards

>

>

>

> [Non-text portions of this message have been removed]

>

large lists of twin primes would be interesting to someone with a powerful computer trying to refine the value of wfor n>n0 sufficiently large.

[Non-text portions of this message have been removed]